3.6 g of a hydrocarbon fuel is burned in a calorimeter that contains a 244 grams of water initally at 25.00 degrees C. After the combustion the temperature is 26.55 degrees C. How much heat is evolved per gram of fuel burned? The heat capacity of the calorimeter (hardware only) is 92.3 J/degrees C
q = heat absorbed by water + heat absorbed by calorimeter.
q = (244 g H2O x specific heat water x delta T) + (92.3 x delta T)
a) q/g = q/3.6g = ?
To calculate the amount of heat evolved per gram of fuel burned, you need to use the formula:
q = m × C × ΔT
Where:
- "q" is the amount of heat evolved
- "m" is the mass of the substance (in this case, the water)
- "C" is the specific heat capacity of the substance (in this case, the calorimeter and water)
- "ΔT" is the change in temperature
First, let's calculate the heat evolved by the combustion process:
Mass of water, m = 244 g
Change in temperature, ΔT = (26.55°C - 25.00°C) = 1.55°C
Specific heat capacity of the calorimeter and water, C = 92.3 J/°C
q = m × C × ΔT
q = 244 g × 92.3 J/°C × 1.55°C
Calculate the value of q.
Next, you need to determine the mass of the fuel burned:
Mass of fuel burned = 3.6 g
To find the amount of heat evolved per gram of fuel burned, divide the calculated value of q by the mass of the fuel:
Heat evolved per gram of fuel burned = q / mass of fuel burned
Plug in the values and calculate to find the answer.